Multivalued Usco Functions and Stegall Spaces.
In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces. We study a special class of Banach spaces named Stegall spaces, denoted by , which is...
- Autores:
-
Narváez, Diana Ximena
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Universidad del Valle
- Repositorio:
- Repositorio Digital Univalle
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.univalle.edu.co:10893/21637
- Acceso en línea:
- https://hdl.handle.net/10893/21637
- Palabra clave:
- Bornology
Usco mapping
Subdifferential
Asplund spaces
Stegall spaces
- Rights
- openAccess
- License
- http://purl.org/coar/access_right/c_abf2
| Summary: | In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces. We study a special class of Banach spaces named Stegall spaces, denoted by , which is located between the Asplund -spaces and Asplund -spaces (-Asplund). We present a self-contained proof of the Stegall theorem, without appealing to the huge number of references required in some proofs available in the classical literature (4). This requires a thorough study of a very special type of multivalued functions between Banach spaces known as usco multi-functions. |
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